# How do you simplify (- 6+ 5i ) + ( 9- 6i )?

Feb 23, 2018

3-i

#### Explanation:

$- 6 + 5 i + 9 - 6 i =$
$3 - i$

Feb 23, 2018

$\left(- 6 + 5 i\right) + \left(9 - 6 i\right)$ Simplifies into $\left(3 - i\right)$

#### Explanation:

The first thing to do is to realize that the letter $i$ is a representation of the $\sqrt{- 1}$.

However, we will no be using that value for $i$, instead, we will be making $i$ a variable.

So, we can rewrite $\left(- 6 + 5 i\right) + \left(9 - 6 i\right)$ as such:

$\left(- 6 + 5 x\right) + \left(9 - 6 x\right)$

Which can be rewritten as:

$- 6 + 5 x + 9 - 6 x$

Now we combine like terms and get:

$3 - x$

We finish off by replacing the $i$ in place of the $x$, and get the final answer of $3 - i$.